Reduced-reference image quality metric based on statistic model in complex wavelet transform domain

Abstract A new Reduced-Reference (RR) image quality metric based on statistical models in the complex wavelet transform domain is proposed. The magnitude and the relative phase information of the complex wavelet coefficients is modeled by using probability density function, and a strategy based on the information criterion is proposed to optimally approximate the distribution. To further improve the accuracy of the metric, a comparison of the candidate models is studied, and the inverse Gaussian distribution and the wrapped Cauchy distribution are selected to model the magnitude and the relative phase distributions, respectively. The Kullback–Leibler divergence between the distributions of the reference image and the distorted one serves as the RR feature to measure the distortion. Finally, a generalized regression neural network is employed to map the RR feature into an objective score. Experimental studies confirmed that the proposed RR image quality metric is quality-aware and highly correlated with the human visual system.

[1]  Nikolay N. Ponomarenko,et al.  Color image database TID2013: Peculiarities and preliminary results , 2013, European Workshop on Visual Information Processing (EUVIP).

[2]  Mohamed A. Deriche,et al.  A fast no reference image quality assessment using laws texture moments , 2014, 2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP).

[3]  Christian Olivier,et al.  Law recognitions by information criteria for the statistical modeling of small scale fading of the radio mobile channel , 2013, Signal Process..

[4]  Yves Rozenholc,et al.  How many bins should be put in a regular histogram , 2006 .

[5]  Damon M. Chandler,et al.  Reduced-reference image quality assessment based on distortion families of local perceived sharpness , 2017, Signal Process. Image Commun..

[6]  A. Enis Çetin,et al.  Image quality assessment using two-dimensional complex mel-cepstrum , 2016, J. Electronic Imaging.

[7]  Sebastian Bosse,et al.  Deep Neural Networks for No-Reference and Full-Reference Image Quality Assessment , 2016, IEEE Transactions on Image Processing.

[8]  N. Kingsbury.  Image processing with complex wavelets , 1999, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[9]  Donald F. Specht,et al.  A general regression neural network , 1991, IEEE Trans. Neural Networks.

[10]  H. Chauris,et al.  Uniform Discrete Curvelet Transform for Seismic Processing , 2008 .

[11]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[12]  Nick G. Kingsbury,et al.  Unsupervised image segmentation via Markov trees and complex wavelets , 2002, Proceedings. International Conference on Image Processing.

[13]  Christian Olivier,et al.  Quaternionic wavelet coefficients modeling for a Reduced-Reference metric , 2015, Signal Process. Image Commun..

[14]  M. Omair Ahmad,et al.  Statistics of 2-D DT-CWT Coefficients for a Gaussian Distributed Signal , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Alan C. Bovik,et al.  Image information and visual quality , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[16]  Soontorn Oraintara,et al.  The Shiftable Complex Directional Pyramid—Part I: Theoretical Aspects , 2008, IEEE Transactions on Signal Processing.

[17]  Soontorn Oraintara,et al.  Image Denoising using Shiftable Directional Pyramid and Scale Mixtures of Complex Gaussians , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[18]  Patrick Le Callet,et al.  Visual features for image quality assessment with reduced reference , 2005, IEEE International Conference on Image Processing 2005.

[19]  Zhou Wang,et al.  Reduced-reference image quality assessment using a wavelet-domain natural image statistic model , 2005, IS&T/SPIE Electronic Imaging.

[20]  Zhou Wang,et al.  Translation insensitive image similarity in complex wavelet domain , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[21]  Zhou Wang,et al.  Quality-aware images , 2006, IEEE Transactions on Image Processing.

[22]  Yang Zhao,et al.  Image quality assessment based on multi-feature extraction and synthesis with support vector regression , 2017, Signal Process. Image Commun..

[23]  Ronghua Guo,et al.  Reduced-reference image quality assessment based on phase information in complex wavelet domain , 2014, 2014 12th International Conference on Signal Processing (ICSP).

[24]  Alan C. Bovik,et al.  No-Reference Image Quality Assessment in the Spatial Domain , 2012, IEEE Transactions on Image Processing.

[25]  Richard Baraniuk,et al.  The Dual-tree Complex Wavelet Transform , 2007 .

[26]  N. Kingsbury.  Complex Wavelets for Shift Invariant Analysis and Filtering of Signals , 2001 .

[27]  Christophe Charrier,et al.  Blind Image Quality Assessment: A Natural Scene Statistics Approach in the DCT Domain , 2012, IEEE Transactions on Image Processing.

[28]  Christian Olivier,et al.  Law recognition via histogram-based estimation , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[29]  Zhou Wang,et al.  Reduced-Reference Image Quality Assessment Using Divisive Normalization-Based Image Representation , 2009, IEEE Journal of Selected Topics in Signal Processing.

[30]  Alan C. Bovik,et al.  Blind Image Quality Assessment: From Natural Scene Statistics to Perceptual Quality , 2011, IEEE Transactions on Image Processing.

[31]  Julian Magarey,et al.  Motion estimation using a complex-valued wavelet transform , 1998, IEEE Trans. Signal Process..

[32]  Zhou Wang,et al.  Multi-scale structural similarity for image quality assessment , 2003 .

[33]  Marc Hallin,et al.  Order Selection, Stochastic Complexity and Kullback-Leibler Information , 1996 .

[34]  Ivan W. Selesnick,et al.  Video denoising using 2D and 3D dual-tree complex wavelet transforms , 2003, SPIE Optics + Photonics.

[35]  Xiaojun Wu,et al.  Blind Image Quality Assessment Using a General Regression Neural Network , 2011, IEEE Transactions on Neural Networks.

[36]  Jingge Song,et al.  A globally enhanced general regression neural network for on-line multiple emissions prediction of utility boiler , 2017, Knowl. Based Syst..

[37]  Minh N. Do,et al.  Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance , 2002, IEEE Trans. Image Process..

[38]  David Zhang,et al.  FSIM: A Feature Similarity Index for Image Quality Assessment , 2011, IEEE Transactions on Image Processing.

[39]  Lucien Birgé,et al.  Statistical estimation with model selection , 2006 .

[40]  J. Leroy Folks,et al.  The Inverse Gaussian Distribution: Theory: Methodology, and Applications , 1988 .

[41]  Jinxu Tao,et al.  Reduced-reference image quality assessment based on average directional information , 2012, 2012 IEEE 11th International Conference on Signal Processing.

[42]  Eric C. Larson,et al.  Most apparent distortion: full-reference image quality assessment and the role of strategy , 2010, J. Electronic Imaging.

[43]  Paul A. Viola,et al.  Texture recognition using a non-parametric multi-scale statistical model , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[44]  Christian Olivier,et al.  Information criteria based edge detection , 1998, 9th European Signal Processing Conference (EUSIPCO 1998).

[45]  Yuukou Horita,et al.  Impact of subjective dataset on the performance of image quality metrics , 2008, 2008 15th IEEE International Conference on Image Processing.

[46]  H. Akaike.  A new look at the statistical model identification , 1974 .

[47]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[48]  Patrick Le Callet,et al.  An image quality assessment method based on perception of structural information , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[49]  Abdul Rehman,et al.  Reduced-Reference Image Quality Assessment by Structural Similarity Estimation , 2012, IEEE Transactions on Image Processing.

[50]  Soontorn Oraintara,et al.  A study of relative phase in complex wavelet domain: Property, statistics and applications in texture image retrieval and segmentation , 2010, Signal Process. Image Commun..